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第一届冬季数学高级研讨会(First Winter Workshop on Advanced Topics in Mathematics:Commutative Algebra and Banach Space Theory)
第一届 冬季数学 高级研讨会
2017/12/20
This four-day workshop is devoted to discuss advanced topics from commutative algebra and Banach space theory. The theme of this workshop is twofold: parallel series of lectures will be delivered in c...
Convergence theorems of iterative scheme for a countable family of nonexpansive mappings in a Banach space
Strong convergence nonexpansive mappings
2010/9/21
In this paper, we introduce a new Halpern type iterative sequence for a countable family of nonexpansive mappings. Then we prove that such a sequence converges strongly to a common fixed point of a co...
A new convergence theorem for Newton's method in Banach space using assumptions on the first Frechet-derivative
Newton’s method Fr´ echet-differentiable
2010/9/15
In this study, we provide a new Kantorovich-type convergence theorem for Newton’s method in Banach space. Its condition is different from earlier ones, and therefore it has theoretical and practical v...